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Hom-algebra structures
Lund university. (Matematik/tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2008 (English)In: Journal of Generalized Lie Theory and Applications, ISSN 1736-5279, E-ISSN 1736-4337, Vol. 2, no 2, 51-64 p.Article in journal (Refereed) Published
Abstract [en]

A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson and Silvestrov in [4] and extended by Larsson and Silvestrov to quasi-hom Lie and quasi-Lie algebras in [5, 6]. In this paper we introduce and study Hom-associative, Hom-Leibniz, and Hom-Lie admissible algebraic structures which generalize the well known associative, Leibniz and Lie admissible algebras. Also, we characterize the flexible Hom-algebras in this case. We also explain some connections between Hom-Lie algebras and Santilli’s isotopies of associative and Lie algebras.

Place, publisher, year, edition, pages
2008. Vol. 2, no 2, 51-64 p.
Keyword [en]
Hom-Lie algebra, Hom-Associative algebra, Hom-Leibniz algebra, Hom-Lie admissible algebra, flexible algebra
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22092DOI: 10.4303/jglta/S070206OAI: oai:DiVA.org:mdh-22092DiVA: diva2:682646
Available from: 2013-12-28 Created: 2013-10-23 Last updated: 2014-01-10Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.4303/jglta/S070206

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Silvestrov, Sergei D.
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